Finding the Fourth Proportional to 9,186.42, 13,775.42 and 3,638.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186.42 : 13,775.42 = 3,638.86 : x
2. Step 2: Convert to fraction form
   9,186.42/13,775.42 = 3,638.86/x
3. Step 3: Cross multiply
   9,186.42x = 13,775.42 × 3,638.86
4. Step 4: Simplify right side
   9,186.42x = 50,126,824.82
5. Step 5: Solve for x
   x = 50,126,824.82/9,186.42
6. Step 6: Final answer
   x = 5,456.62